The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 13VZ31 # Created Sat May 4 01:15:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 41 observations of 41 # Arc: 7.95y # First observation: 2013/10/02 # Last observation: 2021/09/12 # Chi-squared of fit: 10.95 DOF: 76 RMS: 0.09 # Min/Max residuals: -0.28 0.19 # Exact a, adot, b, bdot, g, gdot: 1.330680E-05 1.856558E-02 -3.886011E-07 2.331900E-04 2.145166E-02 1.262977E-03 # Covariance matrix: 1.8403E-13 -5.9941E-14 -1.2982E-15 -1.5341E-16 8.1316E-14 -2.1176E-13 -5.9941E-14 4.5090E-14 -5.4960E-16 4.9382E-16 1.2529E-14 2.9058E-13 -1.2982E-15 -5.4960E-16 1.0644E-13 -2.3067E-14 -4.3439E-15 -7.5499E-15 -1.5341E-16 4.9382E-16 -2.3067E-14 7.5938E-15 9.1694E-16 4.4209E-15 8.1316E-14 1.2529E-14 -4.3439E-15 9.1694E-16 2.1604E-13 2.6470E-13 -2.1176E-13 2.9058E-13 -7.5499E-15 4.4209E-15 2.6470E-13 2.3839E-12 # lat0 lon0 xBary yBary zBary JD0 -2.628425 0.395935 -0.145776 -0.045315 -0.989296 2456567.641608 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 140.08241 +/- 0.039 Argument of Peri: 137.91795 +/- 0.035 Long of Asc Node: 74.91724 +/- 0.005 Inclination: 2.67288 +/- 0.000 Eccentricity: 0.11588444 +/- 0.0001 Semi-Major Axis: 43.52577299 +/- 0.0032 Time of Perihelion: 2415755.4308 +/- 12.4 Perihelion: 38.48181335 +/- 0.0040 Aphelion: 48.56973263 +/- 0.0046 Period (y) 287.1626 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 47.55515651 +/- 0.0010 Ecliptic Y 0.47747454 +/- 0.0000 Ecliptic Z -2.13780256 +/- 0.0000 Ecliptic XDOT 0.00013984 +/- 0.0000 Ecliptic YDOT 0.00236922 +/- 0.0000 Ecliptic ZDOT 0.00002248 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.60553476 +/- 0.0010 Geocenter to KBO 46.61643982 +/- 0.0010 # Hcoef: 6.52
The following table shows the complete astrometric record for 13VZ31. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13VZ31) followed by the observatory code and reference code for the source of the astrometry.
2013 10 02.14083 00 05 38.225 -02 15 14.19 23.8g 13VZ31 W84 C~4yRP 2013 11 08.15958 00 03 30.41 -02 27 55.4 23.1r 13VZ31 W84 C~3clW 2013 11 22.11198 00 02 59.756 -02 30 30.47 23.3r 13VZ31 W84 C~4yRP 2013 11 22.11198 00 02 59.76 -02 30 30.5 23.4r 13VZ31 W84 C~3clW 2013 11 22.11335 00 02 59.747 -02 30 30.31 22.5i 13VZ31 W84 C~4yRP 2013 11 22.11335 00 02 59.75 -02 30 30.3 22.8i 13VZ31 W84 C~3clW 2013 11 23.09986 00 02 58.074 -02 30 37.86 22.7i 13VZ31 W84 C~4yRP 2013 11 23.09986 00 02 58.08 -02 30 37.9 22.9i 13VZ31 W84 C~3clW 2014 08 18.28881 00 12 17.952 -01 30 28.75 22.7i 13VZ31 W84 C~4yRP 2014 08 18.29019 00 12 17.945 -01 30 28.71 23.0z 13VZ31 W84 C~4yRP 2014 10 23.19436 00 08 12.072 -01 57 11.47 23.9g 13VZ31 W84 C~4yRP 2014 10 23.19873 00 08 12.069 -01 57 11.54 23.2r 13VZ31 W84 C~4yRP 2014 10 23.19873 00 08 12.07 -01 57 11.5 23.2r 13VZ31 W84 C~3clW 2014 10 28.19677 00 07 55.180 -01 58 50.41 23.4g 13VZ31 W84 C~4yRP 2016 11 26.11554 00 14 20.401 -01 13 48.52 23.5r 13VZ31 W84 C~4yRP 2016 11 26.11554 00 14 20.40 -01 13 48.5 23.5r 13VZ31 W84 C~3clW 2016 11 26.11692 00 14 20.396 -01 13 48.45 23.1i 13VZ31 W84 C~4yRP 2016 11 26.11692 00 14 20.40 -01 13 48.4 23.3i 13VZ31 W84 C~3clW 2016 11 26.11829 00 14 20.381 -01 13 48.36 23.9g 13VZ31 W84 C~4yRP 2016 11 26.11829 00 14 20.38 -01 13 48.4 24.0g 13VZ31 W84 C~3clW 2016 12 05.07123 00 14 08.560 -01 14 33.71 23.2r 13VZ31 W84 C~4yRP 2016 12 05.07123 00 14 08.56 -01 14 33.7 23.5r 13VZ31 W84 C~3clW 2016 12 19.05933 00 14 02.438 -01 14 21.50 23.1i 13VZ31 W84 C~4yRP 2016 12 19.05933 00 14 02.44 -01 14 21.5 23.3i 13VZ31 W84 C~3clW 2017 09 27.243102 00 21 22.72 -00 29 06.5 23.1i 13VZ31 W84 C~35ba 2017 09 27.24362 00 21 22.718 -00 29 06.58 23.2i 13VZ31 W84 C~4yRP 2017 09 27.244491 00 21 22.72 -00 29 06.6 23.1r 13VZ31 W84 C~35ba 2017 09 27.24501 00 21 22.719 -00 29 06.62 23.0r 13VZ31 W84 C~4yRP 2017 09 27.245868 00 21 22.72 -00 29 06.8 24.2g 13VZ31 W84 C~35ba 2017 09 27.24640 00 21 22.715 -00 29 06.72 24.3g 13VZ31 W84 C~4yRP 2017 10 27.16165 00 19 28.453 -00 40 52.94 22.0z 13VZ31 W84 C~4yRP 2017 10 28.155289 00 19 25.07 -00 41 12.6 23.6i 13VZ31 W84 C~35ba 2018 09 09.21996 00 26 23.382 +00 04 33.66 23.9g 13VZ31 W84 C~4yRP 2018 09 09.32865 00 26 22.980 +00 04 30.97 23.0r 13VZ31 W84 C~4yRP 2018 09 09.33003 00 26 22.977 +00 04 30.95 22.9i 13VZ31 W84 C~4yRP 2018 09 14.32064 00 26 04.192 +00 02 25.61 22.7i 13VZ31 W84 C~4yRP 2018 09 14.32202 00 26 04.209 +00 02 25.68 23.6r 13VZ31 W84 C~4yRP 2018 09 14.32338 00 26 04.213 +00 02 25.51 24.3g 13VZ31 W84 C~4yRP 2021 09 12.336950 00 37 38.239 +01 20 35.95 23.2G 13VZ31 G37 C~55O9 2021 09 12.397240 00 37 38.010 +01 20 34.43 13VZ31 G37 C~55O9 2021 09 12.457900 00 37 37.785 +01 20 32.89 13VZ31 G37 C~55O9
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.03 0.00 0.14
2 0.1014 0.00 -0.05 0.00 -0.12
3 0.1396 0.00 0.05 0.00 -0.04
4 0.1396 0.00 0.11 0.00 -0.07
5 0.1396 0.00 0.00 0.00 0.14
6 0.1396 0.00 -0.04 0.00 0.13
7 0.1423 0.00 -0.04 0.00 0.08
8 0.1423 0.00 0.05 0.00 0.04
9 0.8765 0.00 -0.00 0.00 -0.03
10 0.8765 0.00 -0.04 0.00 0.04
11 1.0570 0.00 -0.17 0.00 -0.14
12 1.0570 0.00 0.03 0.00 -0.08
13 1.0570 0.00 0.02 0.00 -0.12
14 1.0707 0.00 -0.02 0.00 0.09
15 3.1512 0.00 0.06 0.00 -0.04
16 3.1512 0.00 0.04 0.00 -0.02
17 3.1512 0.00 0.08 0.00 0.09
18 3.1512 0.00 0.02 0.00 0.04
19 3.1512 0.00 -0.19 0.00 0.10
20 3.1512 0.00 -0.17 0.00 0.14
21 3.1757 0.00 -0.01 0.00 0.03
22 3.1757 0.00 -0.01 0.00 0.02
23 3.2140 0.00 0.11 0.00 -0.09
24 3.2140 0.00 0.08 0.00 -0.09
25 3.9866 0.00 -0.00 0.00 0.07
26 3.9866 0.00 -0.00 0.00 0.00
27 3.9866 0.00 0.08 0.00 0.01
28 3.9866 0.00 0.10 0.00 -0.00
29 3.9866 0.00 0.16 0.00 -0.16
30 3.9866 0.00 0.12 0.00 -0.06
31 4.0685 0.00 -0.03 0.00 -0.26
32 4.0712 0.00 0.04 0.00 -0.02
33 4.9366 0.00 -0.10 0.00 -0.01
34 4.9369 0.00 -0.01 0.00 0.00
35 4.9369 0.00 0.03 0.00 0.02
36 4.9505 0.00 -0.28 0.00 0.04
37 4.9505 0.00 0.05 0.00 0.15
38 4.9505 0.00 0.19 0.00 0.01
39 7.9458 0.00 -0.02 0.00 0.06
40 7.9459 0.00 -0.06 0.00 0.03
41 7.9461 0.00 -0.02 0.00 -0.02
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
13VZ31 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.757 43.757 43.757 ecceobj 0.112 0.112 0.112 incobj 2.673 2.673 2.673 qmin 37.659 37.587 37.633 qmax 49.967 49.976 49.923 amean 43.616 43.616 43.616 amin 43.263 43.247 43.259 amax 44.011 44.016 44.005 emean 0.095 0.095 0.095 emin 0.063 0.062 0.064 emax 0.136 0.136 0.136 imean 0.965 0.965 0.966 imin 0.600 0.601 0.598 imax 1.709 1.703 1.717 excite_mean 0.096 0.096 0.096 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 186.3 186.2 186.1 kozaiamp 179.9 179.9 180.0